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10772366514 = 2371331897151
BaseRepresentation
bin10100000100001010…
…10100010010110010
31000210202002220210120
422002011110102302
5134030211212024
64540533111110
7530643414240
oct120205242262
930722086716
1010772366514
1146287a1448
122107788496
131028a16590
14742977790
15430ac7479
hex2821544b2

10772366514 has 128 divisors (see below), whose sum is σ = 27683389440. Its totient is φ = 2718144000.

The previous prime is 10772366491. The next prime is 10772366519. The reversal of 10772366514 is 41566327701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10772366519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1502839 + ... + 1509989.

It is an arithmetic number, because the mean of its divisors is an integer number (216276480).

Almost surely, 210772366514 is an apocalyptic number.

10772366514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10772366514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841694720).

10772366514 is an abundant number, since it is smaller than the sum of its proper divisors (16911022926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10772366514 is a wasteful number, since it uses less digits than its factorization.

10772366514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7296.

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 10772366514 in words is "ten billion, seven hundred seventy-two million, three hundred sixty-six thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 89 91 93 178 182 186 217 267 273 403 434 534 546 623 651 806 1157 1209 1246 1302 1869 2314 2418 2759 2821 3471 3738 5518 5642 6942 7151 8099 8277 8463 14302 16198 16554 16926 19313 21453 24297 35867 38626 42906 48594 50057 57939 71734 92963 100114 107601 115878 150171 185926 215202 221681 251069 278889 300342 443362 502138 557778 636439 650741 665043 753207 1272878 1301482 1330086 1506414 1551767 1909317 1952223 2881853 3103534 3818634 3904446 4455073 4655301 5763706 8273707 8645559 8910146 9310602 13365219 16547414 17291118 19729609 20172971 24821121 26730438 39459218 40345942 49642242 57915949 59188827 60518913 115831898 118377654 121037826 138107263 173747847 256484917 276214526 347495694 414321789 512969834 769454751 828643578 1538909502 1795394419 3590788838 5386183257 10772366514